To transform the equation \(4x + y = -12\) to slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
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Isolate \(y\) on one side of the equation. Start with the original equation:
\[ 4x + y = -12 \]
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Subtract \(4x\) from both sides:
\[ y = -4x - 12 \]
Now, the equation is in slope-intercept form, where the slope \(m = -4\) and the y-intercept \(b = -12\).
Thus, the final result is:
\[ y = -4x - 12 \]
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